log3x + log2(x – 2) = log3(x + 10)

Q: The graph of a logarithmic function is given.Match each graph to one of the following function

A: Given, graph where y=0 at x=3 y=log3x-1 satisfy this given graph  put x=3 y=log33-1y=1-1=0 now find…

Q: log2 (x − 1) − log2(x + 3) = log2 (1x)

A: We need to solve log2 x − 1 − log2x + 3 = log2 1x. So,               log2 x − 1 − log2x + 3 = log2…

Q: 7x +2+3x° log x +3x + 2x° log x + 2x'+ 6x 3

A: This is a problem of algorithm, complexity, function and run time.

Q: = log3x + log(5x²-3x) - log3x², express x in terms of y.

A: Topic:- algebra

Q: 7. f(x) = 6e* + log2(7x² + 3x + 1) f'(x) =

A: Given: fx=6ex+log27x2+3x+1 Differentiating fx with respect to x, f'x=ddx6ex+log27x2+3x+1…

Q: 3x = 76x-5 d. log2(x+30) + log2x = 6 e. 2x^2 = 162x-3

A:

Q: 2. The function f(x)= log₁0x has the point (10, 1) on its graph. Find the coordinates of the image…

A:

Q: log(x^2+2x-8)=2+log(x+4)

A: Given equation is log(x2+2x-8)=2+log(x+4)

Q: log3(1– x) 2 log3 (x + 16 – x²)

A: Given inequality for the logarithm function can be solved by general formula of the logarithms.…

Q: 4.y=log10 (x4 + 3x² + 1) 5.y = log5 √x² +1 1-x² 6.y-log10 |2–5x3

A: Given 4. y=log10x4+3x2+1 5. y=log5x2+1 6. y=log101-x22-5x3         Derivative of the log functions…

Q: Solve for x.    log6(x2 + 8) = log6(9x)

A: By using logarithmic property, we calculate the value of 'x'.

Q: solve for x in log2 (x+3) + log2 (x-1) = log2 12

A: Givenlog2 (x+3) + log2 (x-1) = log2 12

Q: 9. log- log, 5 = log 5

A: A detailed solution is given below

Q: 2log(x)-log2(x-3)=2

A: Given: -

Q: log5 (x – 4) – log5(x) + 4log5

A:

Q: log3 (V9) x log3(9) log;(52) x log5(5) log3 (35) x log3 (3) ||

A: We solve here logarithmic problem.

Q: log3 = X-1 3 √3-2x

A:

Q: Log (3x-5)-109 (4x+1\ = Log x+6)-L09x+2 8, 8,

A:

Q: Combine into a single logarithm.

A: The three logarithmic properties to be used are: a) clogba=logbac b) logba-logbd=logba/d c)…

Q: 15. Solve log5(5 – 3x) - 2log5(7 + x) = 1 %3D

A: We can find the answer as below

Q: Log 2 = 0.301, log 3 = 0.477,  log 5 = 0.699 and log 7 = 0.845 Using this information only, find:-…

A: According to the given information, The given log values are:

Q: Solve for x: log2(x) + log2(x – 2) = 3 Solve for x: log:(x - 2) - log:(x - 4) = 2

A:

Q: Solve the equation.

A: Given equation: logx+3=1-logx-2 Solve the above equation, we get logx+3+log(x-2)=1

Q: log2(x+1)-log2(2-x)=3

A: Given that:   log2(x+1)-log2(2-x)=3NOTE:  First expression has two values.So need to be corrected.

Q: Solve the equation.

A: log57x=2+logx-2

Q: logarithmic form of x^3

A: Given y=x3

Q: Log8(x-2)+log8(x)=1

A: The given expression of the logarithmic equation is: log8(x-2)+log8(x)=1 Use properties of…

Q: log 2 x+ 2) + log 2x- 2) = 5

A:

Q: log(3x) + log(3x)

A: log(m)+log(n) =log(mn) Product law of logarithm

Q: Log (x +35) - Log x=4 2 2

A:

Q: log2 (7x + 1) = log2 (3x + 9)

A:

Q: log(3x-1)=log(4-x)

A: The given equation is log (3x–1) = log (4–x).

Q: 3. Solve forx: log x + log (2x/5) -6

A:

Q: Express log(x²-x-12) - log(x² - 7x + 12) as a single logarithm. State any restrictions on the…

A: Given : expression  logx2-x-12-logx2-7x-12 Prerequisite : Here we use the formula log a - log b =log…

Q: logix +log, (x- 12)=3

A:

Q: log(4+x)-log(x-3)=log4

A: Given equation is log(4+x)-log(x-3)=log4 By using the result log(m)-log(n)=logmn, we get…

Q: log base 3 (x+3)+log base 3 (x-3) = 3

A:

Q: (1093x-21093x+5) The equation log3x-2 X exactly three real solutions at least one real solutions =…

A: Consider the given equation, xlog32x-92log3x+5=33 Let us assume that log3x=m,…

Q: log(5x) + log(x – 1) = 2

A:

Q: 89+3 12 89+3 12 ) log( ) = log( log( log( ----- L-----

A: To solve the given expression

Q: log(x) + log(x – 1) = log(3x) X =

A:

Q: 5-Solve a) log3x + log3(x + 6) = 3 b) log10 (3x-2) -2log10 X+1 = 2 c) log, (1– x) + log,(2x– 5) = 3…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Log(x + 4) - log 2= log (5x+1)

A:

Q: log -2 -2)+ 6x 2 log6= log ニ

A: Given log(x2-2)+2log6 = log 6x There is always 10 in the base of a log  log10(x2-2)+2.log106 =…

Q: log5(x+3) = 1- log5(x-1)

A:

Q: the graph of y=log2x is reflected across the x-axis and stretched horizontally by a factor of 1/3.…

A:

Q: log(2x-3)-2=log(4x-1

A: Given log(2x-3)-2=log(4x-1)We need to solve for xlog(2x-3)-log(4x-1)=2

Q: Solve for x:

A: Given, logX2 =log16X

Q: 13. Solve for x. log₂ (2x + 3) = 2 log₂ (x)

A:

Q: log16 x5 = log64 125 - log4 √x

A: Given Equation log16x5 =log64125- log4x And log16x2 = 5 log16xlog64125 = log45 =log1625